21302782136593 has 2 divisors, whose sum is σ = 21302782136594. Its totient is φ = 21302782136592.

The previous prime is 21302782136453. The next prime is 21302782136611. The reversal of 21302782136593 is 39563128720312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21210749993169 + 92032143424 = 4605513^2 + 303368^2 .

It is a cyclic number.

It is not a de Polignac number, because 21302782136593 - 2³⁷ = 21165343183121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 21302782136593.

It is not a weakly prime, because it can be changed into another prime (21302782136693) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10651391068296 + 10651391068297.

It is an arithmetic number, because the mean of its divisors is an integer number (10651391068297).

Almost surely, 2^{21302782136593} is an apocalyptic number.

It is an amenable number.

21302782136593 is a deficient number, since it is larger than the sum of its proper divisors (1).

21302782136593 is an equidigital number, since it uses as much as digits as its factorization.

21302782136593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3265920, while the sum is 52.

The spelling of 21302782136593 in words is "twenty-one trillion, three hundred two billion, seven hundred eighty-two million, one hundred thirty-six thousand, five hundred ninety-three".